A charge of $24 C$ $24 C$ passes through a circuit every $2 s$ $2 s$ . If the circuit can generate $3 W$ $3 W$ of power, what is the circuit's resistance?

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Answer 1 · 2017-06-23T05:23:01

The resistance is $=21mOmega$

The charge is related to the time and the current by the

$Q=It$

The charge is $Q=24C$

The time is $t=2s$

The current is $I=Q/t=24/2=12A$

The power is $=3W$

The power is

$P=UI$

But Ohm's Law states that

$U=RI$

So,

$P=RI^2$

Therefore,

$R=P/I^2=3/12^2=0.021Omega$

A charge of 24 C24C24 C passes through a circuit every 2 s2s2 s. If the circuit can generate 3 W3W3 W of power, what is the circuit's resistance?